Search a number
-
+
21841974 = 23471117103
BaseRepresentation
bin101001101010…
…0100000110110
31112002200120000
41103110200312
521042420344
62100052130
7353440140
oct123244066
945080500
1021841974
1111369220
127394046
1346a995b
142c87c90
151db6a69
hex14d4836

21841974 has 160 divisors (see below), whose sum is σ = 65235456. Its totient is φ = 5287680.

The previous prime is 21841913. The next prime is 21842021. The reversal of 21841974 is 47914812.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 212007 + ... + 212109.

Almost surely, 221841974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21841974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32617728).

21841974 is an abundant number, since it is smaller than the sum of its proper divisors (43393482).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21841974 is a wasteful number, since it uses less digits than its factorization.

21841974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 21841974 is about 4673.5397719502. The cubic root of 21841974 is about 279.5314186452.

The spelling of 21841974 in words is "twenty-one million, eight hundred forty-one thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 81 99 102 103 119 126 153 154 162 187 189 198 206 231 238 297 306 309 357 374 378 459 462 561 567 594 618 693 714 721 891 918 927 1071 1122 1133 1134 1309 1377 1386 1442 1683 1751 1782 1854 2079 2142 2163 2266 2618 2754 2781 3213 3366 3399 3502 3927 4158 4326 5049 5253 5562 6237 6426 6489 6798 7854 7931 8343 9639 10098 10197 10506 11781 12257 12474 12978 15147 15759 15862 16686 19261 19278 19467 20394 23562 23793 24514 30294 30591 31518 35343 36771 38522 38934 47277 47586 57783 58401 61182 70686 71379 73542 91773 94554 106029 110313 115566 116802 134827 141831 142758 173349 183546 212058 214137 220626 269654 283662 330939 346698 404481 428274 520047 642411 661878 808962 992817 1040094 1213443 1284822 1560141 1985634 2426886 3120282 3640329 7280658 10920987 21841974